$\begin{array}{l}\phantom{\phantom{;}x\phantom{;}+3;}{\phantom{;}x^{2}-8x\phantom{;}+29\phantom{;}\phantom{;}}\\\phantom{;}x\phantom{;}+3\overline{\smash{)}\phantom{;}x^{3}-5x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x\phantom{;}+3;}\underline{-x^{3}-3x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2};}-8x^{2}+5x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n;}\underline{\phantom{;}8x^{2}+24x\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}8x^{2}+24x\phantom{;}-;x^n;}\phantom{;}29x\phantom{;}-2\phantom{;}\phantom{;}\\\phantom{\phantom{;}x\phantom{;}+3-;x^n-;x^n;}\underline{-29x\phantom{;}-87\phantom{;}\phantom{;}}\\\phantom{;;-29x\phantom{;}-87\phantom{;}\phantom{;}-;x^n-;x^n;}-89\phantom{;}\phantom{;}\\\end{array}$

$x^{2}-8x+29+\frac{-89}{x+3}$